Rovibrational computations for He${}_2^{+}$ X ${\Sigma }_{\mathrm{u}}^{+}$ including non-adiabatic, relativistic and QED corrections

Abstract

We report the potential energy curve, the diagonal Born-Oppenheimer, non-adiabatic mass, relativistic, and leading-order QED corrections for the ground electronic state of the helium dimer cation; the higher-order QED and finite-nuclear size effects are also estimated. The computations are carried out with an improved error control and over a much broader configuration range compared to earlier work [D. Ferenc, V. I. Korobov, and E. Mátyus, Phys. Rev. Lett. 125, 213001 (2020)]. As a result, all rovibrational bound states are reported with an estimated accuracy of 0.005 cm${}^{-1}$.

References in corpus (22)

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• ${\alpha }^4$ Ry corrections to singlet states of helium
• Complete ${\alpha }^{6}m$ corrections to the ground state of H${}_2$
• Relativistic corrections for the ground electronic state of molecular hydrogen
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• The time-dependent Born-Oppenheimer approximation
• Calculation of the relativistic Bethe logarithm in the two-center problem
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• Bethe logarithm for the helium atom
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• Effective non-adiabatic Hamiltonians for the quantum nuclear motion over coupled electronic states
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• Non-adiabatic mass correction to the rovibrational states of molecules. Numerical application for the H${}_2^{+}$ molecular ion
• High-resolution spectroscopy of He${}_2^{+}$ using Rydberg-series extrapolation and Zeeman-decelerated supersonic beams of metastable He${}_2$
• Precision measurement of the rotational energy-level structure of the three-electron molecule He${}_2^{+}$
• Evaluation of the Bethe logarithm: from atom to chemical reaction
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